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Finding the Fourth Proportional to 1,630.48, 2,445.72 and 589.90

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Solution

The fourth proportional to 1,630.48, 2,445.72 and 589.90 is: 884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.48 : 2,445.72 = 589.90 : x
  2. Step 2: Convert to fraction form
    1,630.48/2,445.72 = 589.90/x
  3. Step 3: Cross multiply
    1,630.48x = 2,445.72 × 589.90
  4. Step 4: Simplify right side
    1,630.48x = 1,442,730.23
  5. Step 5: Solve for x
    x = 1,442,730.23/1,630.48
  6. Step 6: Final answer
    x = 884.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.